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Finding the Fourth Proportional to 959.01, 1,323.69 and 566.30

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Solution

The fourth proportional to 959.01, 1,323.69 and 566.30 is: 781.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    959.01 : 1,323.69 = 566.30 : x
  2. Step 2: Convert to fraction form
    959.01/1,323.69 = 566.30/x
  3. Step 3: Cross multiply
    959.01x = 1,323.69 × 566.30
  4. Step 4: Simplify right side
    959.01x = 749,599.03
  5. Step 5: Solve for x
    x = 749,599.03/959.01
  6. Step 6: Final answer
    x = 781.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.